natty374 natty374
  • 23-09-2018
  • Mathematics
contestada

using the diagram, explain why y =2x+1 and y=2x-3 have no solutions.

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tala32
tala32 tala32
  • 23-09-2018
because they have the same inclination so if we try to draw them on a diagram they will be parallel to each other.
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s1m1
s1m1 s1m1
  • 23-09-2018
The solutions to an equation are the coordinates of the points that belong to both lines.
The points where the graphs meet belongs to both lines and are solutions to the system of equations.
In our case the lines have the same slope therefore are parallel, so they will never meet so they will have to points that are common to both lines in the same time, so the system of equations given has no solutions.
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